[{"0":0,"1":1,"2":2,"3":3,"5":5,"6":6,"8":8,"9":9,"10":10,"11":11,"15":15,"16":16,"17":17,"18":18,"19":19,"20":20,"21":21,"22":22,"23":23,"24":24,"25":25,"26":26,"27":27,"28":28,"29":29,"30":31,"33":34,"34":35,"35":36,"36":37,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"49":51,"50":52,"52":55,"53":56,"54":58,"55":59,"56":60,"57":61,"58":62,"59":63,"61":66,"64":69,"65":70,"66":71,"67":72,"68":73,"70":75,"72":77,"73":78,"74":79,"76":81,"77":82,"78":83,"79":84,"80":85,"81":87,"82":88,"83":89,"84":90,"85":91,"86":92,"87":93,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"97":103,"98":104,"99":105,"100":106,"101":107,"102":108,"103":109,"104":110,"105":111,"107":113,"108":114,"109":115,"110":116,"111":117,"112":118,"114":120,"115":121,"117":123,"118":126,"120":128,"121":129,"122":130,"123":131,"124":133,"126":135,"127":136,"128":137,"129":138,"130":139,"131":140,"132":141,"133":142,"134":143,"135":144,"136":145,"138":147,"139":148,"140":149,"141":150,"142":151,"143":152,"144":153,"145":154,"146":155,"147":156,"148":157,"149":158,"150":159,"152":162,"153":163,"155":166,"157":168,"158":169,"159":171,"160":172,"161":173,"164":176,"165":177,"166":178,"167":179,"168":180,"169":181,"170":182,"171":183,"172":185,"173":186,"174":187,"175":188,"176":189,"177":192,"178":193,"179":194,"181":197,"182":198,"183":199,"184":200,"185":201,"186":202,"187":203,"188":204,"189":205,"190":206,"191":207,"192":208,"193":209,"194":210,"195":211,"196":212,"197":213,"198":215,"199":216,"200":217,"201":219,"202":220,"203":221,"204":222,"205":223,"206":224,"207":225,"209":227,"211":229,"212":230,"213":231,"214":232,"215":233,"216":234,"217":235,"218":236,"219":237,"220":238,"221":239,"222":241,"223":242,"224":243,"225":244,"226":245,"228":247,"229":248,"230":249,"232":252,"234":254,"235":255,"238":258,"239":259,"240":260,"241":261,"242":262,"243":263,"244":264,"245":265,"246":266,"247":267,"248":268,"250":271,"251":272,"254":276,"256":278,"258":280,"259":281,"261":284,"262":285,"263":286,"264":287,"265":288,"266":289,"267":290,"268":291,"269":292,"270":293,"271":294,"272":295,"273":297,"274":298,"275":299,"276":301,"277":302,"278":303,"279":304,"280":305,"281":306,"282":307,"283":308,"284":309,"285":310,"286":311,"287":313,"288":314,"289":315,"290":316,"291":317,"293":321,"294":322,"295":323,"296":324,"297":325,"298":326,"299":327,"300":328,"301":329,"302":330,"304":332,"305":333,"306":334,"307":336,"308":337,"309":338,"310":339,"311":340,"312":341,"313":342,"315":344,"316":345,"317":346,"318":348,"319":349,"320":350,"321":351,"322":352,"323":353,"324":354,"325":355,"327":357,"328":358,"329":359,"330":360,"331":361,"332":362,"333":363,"334":364,"335":365,"336":366,"337":367,"338":368,"339":369,"341":371,"342":372,"343":373,"344":374,"345":375,"346":376,"347":377,"348":378,"349":380,"350":381,"351":382,"352":383,"354":385,"355":386,"356":387,"357":388,"358":389,"359":390,"360":391,"361":393,"362":394,"363":395,"364":396,"365":397,"366":398,"367":399,"368":400,"369":401,"370":402,"371":403,"372":404,"373":407,"374":408,"375":409,"376":411,"377":412,"378":413,"379":414,"380":415,"381":416,"382":417,"383":418,"384":419,"385":421,"386":422,"387":423,"388":424,"389":425,"390":426,"391":428,"392":429,"393":430,"394":431,"395":432,"396":434,"397":435,"398":437,"399":438,"400":439,"401":440,"402":441,"403":446,"404":447,"405":450,"406":451,"407":454,"408":458,"409":459,"410":460,"411":461,"412":462,"413":466,"414":467,"415":469,"416":470,"417":471,"418":474,"420":477,"421":480,"422":482,"423":484,"424":485,"425":488,"426":496,"427":502,"430":516,"431":519,"432":525,"433":527,"434":529,"435":532,"436":541,"437":547,"438":551,"439":557,"440":559,"441":560,"442":561,"443":568,"444":572,"445":584,"446":585,"447":586,"448":587,"449":588,"450":593,"452":598,"453":599,"454":602,"455":607,"456":608,"457":609,"458":610,"459":617,"460":620,"461":623,"462":629,"463":631,"464":632,"465":633,"466":635,"467":641,"468":645,"469":647,"470":649,"471":654,"472":659,"473":663,"474":666,"475":668,"476":674,"477":675,"478":679,"479":686,"480":689,"481":690,"482":695,"483":704,"484":710,"485":719,"486":721,"487":722,"488":727,"489":735,"490":738,"491":746,"492":750,"493":755,"494":765,"495":766,"496":767,"497":768,"498":770,"499":773,"500":775,"501":776,"502":779,"503":787,"504":791,"505":793,"506":796,"507":797,"508":798,"509":800,"510":802,"511":803,"512":807,"513":808,"515":813,"516":814,"517":817,"518":818,"519":819,"520":822,"521":824,"522":826,"523":828,"524":831,"525":832,"526":833,"527":839,"528":840,"529":844,"530":845,"531":856,"532":861,"533":866,"534":869,"535":872,"536":875,"537":880,"538":881,"539":884,"540":885},{"0":30,"1":38,"2":53,"3":57,"5":86,"6":124,"7":132,"8":161,"9":165,"10":170,"11":184,"12":190,"13":191,"14":214,"15":218,"16":240,"18":270,"19":273,"20":282,"22":300,"24":318,"25":319,"28":392,"29":405,"30":406,"31":410,"32":420,"33":427,"34":433,"35":436,"36":442,"37":443,"39":456,"40":468,"41":476,"42":479,"43":491,"44":492,"45":499,"46":501,"47":503,"48":506,"49":510,"51":515,"52":517,"53":518,"54":520,"55":523,"56":524,"57":535,"58":536,"59":537,"60":538,"61":539,"62":540,"63":545,"64":548,"65":549,"66":552,"68":555,"69":562,"70":563,"71":565,"72":571,"73":575,"76":580,"77":595,"78":597,"79":613,"80":614,"82":624,"83":627,"84":630,"85":638,"86":640,"87":643,"88":644,"89":650,"90":651,"91":652,"92":655,"93":656,"94":664,"95":665,"96":669,"97":670,"98":673,"99":678,"100":681,"102":692,"103":711,"104":714,"105":718,"106":723,"107":730,"108":732,"110":741,"111":743,"112":744,"113":753,"114":757,"115":758,"116":764,"117":774,"118":783,"119":784,"120":785,"121":799,"122":804,"123":806,"124":810,"125":815,"126":820,"127":825,"128":834,"129":835,"130":841,"131":842,"132":846,"133":848,"134":852,"136":864,"137":867,"138":874,"139":878,"140":887},{"0":125,"1":196,"2":335,"3":444,"4":457,"5":472,"6":483,"7":487,"8":494,"9":508,"10":533,"11":542,"12":570,"13":577,"14":582,"15":603,"16":605,"17":612,"18":615,"19":618,"20":634,"21":642,"22":648,"23":660,"24":661,"25":671,"26":683,"28":696,"29":697,"30":701,"31":708,"32":713,"33":716,"34":717,"37":740,"38":742,"39":752,"40":754,"42":780,"43":794,"44":795,"45":805,"46":811,"47":812,"48":816,"49":843,"50":855},{"0":481,"1":486,"3":511,"4":544,"5":573,"6":581,"7":583,"8":590,"9":604,"10":616,"11":622,"12":626,"13":628,"14":653,"16":698,"17":706,"18":712,"19":745,"20":747,"22":786,"23":789,"24":790,"25":801,"26":829,"28":868,"29":882,"30":888,"31":889},{"0":498,"1":509,"2":521,"3":522,"4":528,"5":534,"6":566,"7":591,"8":592,"9":606,"10":657,"11":658,"12":680,"13":693,"14":699,"15":707,"16":709,"18":737,"20":778,"21":838,"22":854,"24":859,"25":876},{"0":453,"3":530,"4":558,"5":625,"6":702,"7":703,"8":725,"9":728,"10":760,"12":788,"13":823,"14":851,"15":853,"17":862,"18":870},{"0":465,"1":473,"2":478,"3":497,"4":505,"5":543,"6":546,"7":550,"8":556,"9":639,"10":691,"14":865},{"0":445,"1":455,"4":578,"5":646,"6":733,"7":736,"10":771,"11":827,"12":850},{"0":452,"1":490,"3":600,"4":601,"5":667,"6":684,"7":715},[526,724,734,756,777,830,836,837],[463,495,589,636,637,662,682,772,871,873],[449,464,564,594,611,621,677,700,781,792,883],[574,672,688,705],{"0":531,"2":569},[694,821,877],[748,849]]